(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 12.0' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[    172823,       3280]
NotebookOptionsPosition[    167736,       3188]
NotebookOutlinePosition[    168389,       3209]
CellTagsIndexPosition[    168346,       3206]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData["\:65b9\:7a0b\:7684\:8868\:793a"], "Input",
 CellChangeTimes->{{3.902998972489423*^9, 
  3.902998976441086*^9}},ExpressionUUID->"dac3813e-937a-469c-bb54-\
cc023efff4fb"],

Cell[CellGroupData[{

Cell[BoxData[
 StyleBox[
  RowBox[{"\[IndentingNewLine]", 
   RowBox[{
   "\:4e00\:822c\:65b9\:7a0b\:7684\:6c42\:89e3", "\[IndentingNewLine]", 
    RowBox[{"Solve", "[", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"2", "x"}], "+", 
          RowBox[{"3", "y"}]}], "\[Equal]", "7"}], ",", 
        RowBox[{
         RowBox[{
          RowBox[{"3", "x"}], "+", 
          RowBox[{"4", "y"}]}], "\[Equal]", "10"}]}], "}"}], ",", " ", 
      RowBox[{"{", 
       RowBox[{"x", ",", "y"}], "}"}]}], "]"}]}]}],
  FontSize->72]], "Input",
 CellChangeTimes->{{3.902992679779564*^9, 3.902992714961727*^9}, {
  3.902993118932314*^9, 3.9029931656998568`*^9}, {3.902998969536405*^9, 
  3.902998997450083*^9}},ExpressionUUID->"fe83af0e-9b64-49e3-99df-\
5c25cbc0312b"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{"{", 
   RowBox[{
    RowBox[{"x", "\[Rule]", "2"}], ",", 
    RowBox[{"y", "\[Rule]", "1"}]}], "}"}], "}"}]], "Output",
 CellChangeTimes->{3.902993167993092*^9},
 CellLabel->"Out[5]=",ExpressionUUID->"6a7a4480-b626-4375-b619-df1233b34145"]
}, Open  ]],

Cell[BoxData[""], "Input",
 CellChangeTimes->{{3.9029931774364843`*^9, 
  3.90299317893012*^9}},ExpressionUUID->"89fb563f-33b2-4dd1-84b4-\
179b79b2822c"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  StyleBox["\[IndentingNewLine]",
   FontFamily->"Source Code Pro",
   FontSize->72,
   FontWeight->"SemiBold",
   FontSlant->"Plain",
   PrivateFontOptions->{"FontPostScriptName"->"Automatic"}], 
  RowBox[{
   RowBox[{
    StyleBox["solution",
     FontFamily->"Source Code Pro",
     FontSize->72,
     FontWeight->"SemiBold",
     FontSlant->"Plain",
     PrivateFontOptions->{"FontPostScriptName"->"Automatic"}], 
    StyleBox["=",
     FontFamily->"Source Code Pro",
     FontSize->72,
     FontWeight->"SemiBold",
     FontSlant->"Plain",
     PrivateFontOptions->{"FontPostScriptName"->"Automatic"}], 
    RowBox[{"Solve", "[", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"x", "^", "2"}], "+", "y"}], "\[Equal]", "4"}], ",", " ", 
        RowBox[{
         RowBox[{
          RowBox[{"2", "x"}], "-", "y"}], "\[Equal]", "1"}]}], "}"}], ",", 
      " ", 
      RowBox[{"{", 
       RowBox[{"x", ",", " ", "y"}], "}"}]}], "]"}]}], 
   "\[IndentingNewLine]"}]}]], "Input",
 CellChangeTimes->{
  3.902993202119933*^9, {3.902993233780559*^9, 3.902993275435697*^9}, {
   3.9029933130861397`*^9, 3.9029933679323807`*^9}},
 FontFamily->"Source Code Pro",
 FontSize->48,
 FontWeight->"SemiBold",
 CellLabel->"In[6]:=",ExpressionUUID->"34013bc0-5c78-48bc-9c78-a008a0e60ff8"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{"x", "\[Rule]", 
      RowBox[{
       RowBox[{"-", "1"}], "-", 
       SqrtBox["6"]}]}], ",", 
     RowBox[{"y", "\[Rule]", 
      RowBox[{
       RowBox[{"-", "3"}], "-", 
       RowBox[{"2", " ", 
        SqrtBox["6"]}]}]}]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"x", "\[Rule]", 
      RowBox[{
       RowBox[{"-", "1"}], "+", 
       SqrtBox["6"]}]}], ",", 
     RowBox[{"y", "\[Rule]", 
      RowBox[{
       RowBox[{"-", "3"}], "+", 
       RowBox[{"2", " ", 
        SqrtBox["6"]}]}]}]}], "}"}]}], "}"}]], "Output",
 CellChangeTimes->{3.902993378014173*^9},
 CellLabel->"Out[6]=",ExpressionUUID->"76d527c8-62a3-4e57-9246-453e34aba387"]
}, Open  ]],

Cell[BoxData[""], "Input",
 CellChangeTimes->{{3.9029935153392878`*^9, 
  3.902993551636457*^9}},ExpressionUUID->"4b8ffab6-d99d-485f-af33-\
daedbe7d5f64"],

Cell[CellGroupData[{

Cell[BoxData[{
 StyleBox[
  RowBox[{
   SqrtBox[
    RowBox[{"(", 
     RowBox[{
      RowBox[{"x", "^", "2"}], "+", 
      RowBox[{"y", "^", "2"}]}], ")"}]], "/.", "solution"}],
  FontSize->72], "\[IndentingNewLine]", 
 RowBox[{"Simplify", "[", "%", "]"}]}], "Input",
 CellChangeTimes->{{3.902993558549891*^9, 3.902993586460778*^9}, {
  3.902993763046832*^9, 3.9029937719195538`*^9}, {3.902993963166288*^9, 
  3.902993980330428*^9}},
 CellLabel->"In[12]:=",ExpressionUUID->"07dc471f-2897-488f-ae96-1f02844ccd6f"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   SqrtBox[
    RowBox[{
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{
        RowBox[{"-", "3"}], "-", 
        RowBox[{"2", " ", 
         SqrtBox["6"]}]}], ")"}], "2"], "+", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{
        RowBox[{"-", "1"}], "-", 
        SqrtBox["6"]}], ")"}], "2"]}]], ",", 
   SqrtBox[
    RowBox[{
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{
        RowBox[{"-", "1"}], "+", 
        SqrtBox["6"]}], ")"}], "2"], "+", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{
        RowBox[{"-", "3"}], "+", 
        RowBox[{"2", " ", 
         SqrtBox["6"]}]}], ")"}], "2"]}]]}], "}"}]], "Output",
 CellChangeTimes->{3.902993588003373*^9, 3.902993774312427*^9, 
  3.9029939815828753`*^9},
 CellLabel->"Out[12]=",ExpressionUUID->"2c0987be-2188-476b-b0b6-055387718c18"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   SqrtBox[
    RowBox[{"40", "+", 
     RowBox[{"14", " ", 
      SqrtBox["6"]}]}]], ",", 
   SqrtBox[
    RowBox[{"40", "-", 
     RowBox[{"14", " ", 
      SqrtBox["6"]}]}]]}], "}"}]], "Output",
 CellChangeTimes->{3.902993588003373*^9, 3.902993774312427*^9, 
  3.902993981584259*^9},
 CellLabel->"Out[13]=",ExpressionUUID->"520b64f3-1238-4d24-824a-a5784a145e71"]
}, Open  ]],

Cell[BoxData[
 RowBox[{"Simplify", "[", "%", "]"}]], "Input",
 CellChangeTimes->{{3.902993593165551*^9, 3.902993600148819*^9}},
 CellLabel->"In[10]:=",ExpressionUUID->"86892411-8500-4b10-bb2f-1f41b901364c"],

Cell[BoxData[
 RowBox[{
  RowBox[{"{", 
   RowBox[{
    SqrtBox[
     RowBox[{"40", "+", 
      RowBox[{"14", " ", 
       SqrtBox["6"]}]}]], ",", 
    SqrtBox[
     RowBox[{"40", "-", 
      RowBox[{"14", " ", 
       SqrtBox["6"]}]}]]}], "}"}], "   ", "\[IndentingNewLine]"}]], "Input",
 CellChangeTimes->{{3.902993824350498*^9, 3.90299382435548*^9}, {
  3.9029938592015038`*^9, 3.902993860179885*^9}, {3.902993957935042*^9, 
  3.902993960277367*^9}},ExpressionUUID->"3ccd3ba0-1ae5-4f55-93be-\
7fffcf4a86ee"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"\[IndentingNewLine]", 
  RowBox[{"solution", "=", 
   RowBox[{"Solve", "[", 
    RowBox[{
     RowBox[{
      RowBox[{
       RowBox[{"-", "735"}], "+", 
       RowBox[{"1337", "x"}], "-", 
       RowBox[{"778", 
        SuperscriptBox["x", "2"]}], "+", 
       RowBox[{"198", 
        SuperscriptBox["x", "3"]}], "-", 
       RowBox[{"23", 
        SuperscriptBox["x", "4"]}], "+", 
       SuperscriptBox["x", "5"]}], "\[Equal]", "0"}], ",", "x"}], 
    "]"}]}]}]], "Input",
 CellChangeTimes->{{3.902994125762129*^9, 3.9029941775910683`*^9}, {
  3.902994262529045*^9, 3.9029942833964043`*^9}, {3.902994565601636*^9, 
  3.9029945718003397`*^9}},
 FontFamily->"Source Code Pro",
 FontSize->72,
 FontWeight->"SemiBold",
 CellLabel->"In[16]:=",ExpressionUUID->"fc3e3540-f387-43d7-9333-dcc56f24cee3"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", "1"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", "3"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", "5"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", "7"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", "7"}], "}"}]}], "}"}]], "Output",
 CellChangeTimes->{3.902994183958853*^9, 3.902994306092065*^9, 
  3.902994578479995*^9},
 CellLabel->"Out[16]=",ExpressionUUID->"355d7e02-a00f-465e-bc7d-7dafedf77fd2"]
}, Open  ]],

Cell[BoxData[""], "Input",
 CellChangeTimes->{{3.902994379455627*^9, 
  3.902994384670466*^9}},ExpressionUUID->"90626338-d5e4-4867-8a3c-\
4106e3743bb8"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Sum", "[", 
  RowBox[{
   SuperscriptBox[
    RowBox[{"solution", "[", 
     RowBox[{"[", 
      RowBox[{"k", ",", "1", ",", "2"}], "]"}], "]"}], "2"], ",", 
   RowBox[{"{", 
    RowBox[{"k", ",", " ", "1", ",", " ", "5"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.902994592968587*^9, 3.90299459600793*^9}, {
  3.902994946345998*^9, 3.902994950224862*^9}, {3.9029950662576637`*^9, 
  3.902995135114003*^9}},
 CellLabel->"In[18]:=",ExpressionUUID->"5f159ae6-8ec6-4641-a6e3-b7d5c798a473"],

Cell[BoxData["133"], "Output",
 CellChangeTimes->{3.902995140386406*^9},
 CellLabel->"Out[18]=",ExpressionUUID->"77798d7c-00ac-4e3a-9958-04c110a68fa3"],

Cell[BoxData[
 TemplateBox[{
  "FindRoot","srect",
   "\"Value \\!\\(\\*RowBox[{\\\"a\\\"}]\\) in search specification \
\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"x\\\", \\\",\\\", \\\"a\\\"}], \
\\\"}\\\"}]\\) is not a number or array of numbers.\"",2,29,4,
   31021994735139047574,"Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{3.902999306570554*^9},
 CellLabel->
  "\:6b63\:5728\:8ba1\:7b97In[29]:=",ExpressionUUID->"8445814a-05b0-4eb2-b522-\
199160d34988"]
}, Open  ]],

Cell[BoxData[""], "Input",
 CellChangeTimes->{{3.9029954666909647`*^9, 
  3.902995473354138*^9}},ExpressionUUID->"eca9c3d5-1280-46be-90ed-\
eecde500e6ad"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"NSolve", "[", 
  RowBox[{
   RowBox[{
    SuperscriptBox["x", "5"], " ", "\[Equal]", " ", 
    RowBox[{"x", "+", "1"}]}], ",", " ", "x"}], "]"}]], "Input",
 CellChangeTimes->{{3.902997872223428*^9, 3.90299799298512*^9}},
 CellLabel->"In[22]:=",ExpressionUUID->"0df1910b-838f-4a02-b14d-f97c0852fb01"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", 
     RowBox[{
      RowBox[{"-", "0.7648844336005847`"}], "-", 
      RowBox[{"0.35247154603172626`", " ", "\[ImaginaryI]"}]}]}], "}"}], ",", 
   
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", 
     RowBox[{
      RowBox[{"-", "0.7648844336005847`"}], "+", 
      RowBox[{"0.35247154603172626`", " ", "\[ImaginaryI]"}]}]}], "}"}], ",", 
   
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", 
     RowBox[{"0.1812324444698754`", "\[VeryThinSpace]", "-", 
      RowBox[{"1.0839541013177105`", " ", "\[ImaginaryI]"}]}]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", 
     RowBox[{"0.1812324444698754`", "\[VeryThinSpace]", "+", 
      RowBox[{"1.0839541013177105`", " ", "\[ImaginaryI]"}]}]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", "1.1673039782614187`"}], "}"}]}], "}"}]], "Output",\

 CellChangeTimes->{{3.902997950440645*^9, 3.90299799661628*^9}},
 CellLabel->"Out[22]=",ExpressionUUID->"304edf09-4226-4b73-bfe3-25487ae314d2"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"NSolve", "[", 
  RowBox[{
   RowBox[{
    SuperscriptBox["x", "5"], " ", "\[Equal]", " ", 
    RowBox[{"x", "+", "1"}]}], ",", " ", "x", ",", " ", "10"}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.9029980163140707`*^9, 3.902998035104248*^9}, {
  3.902998909592428*^9, 3.9029989099030848`*^9}},
 CellLabel->"In[27]:=",ExpressionUUID->"361a5e0f-6e6a-4f56-adc3-5b3e8aba678c"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", 
     RowBox[{
      RowBox[{
      "-", "0.76488443360058466780060371092986315489`10.108700620161107"}], 
      "-", 
      RowBox[{
      "0.35247154603172625719764710083836689591`9.772228861064606", " ", 
       "\[ImaginaryI]"}]}]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", 
     RowBox[{
      RowBox[{
      "-", "0.76488443360058466780060371092986315489`10.108700620161107"}], 
      "+", 
      RowBox[{
      "0.35247154603172625719764710083836689591`9.772228861064606", " ", 
       "\[ImaginaryI]"}]}]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", 
     RowBox[{"0.18123244446987540889892898121615871787`9.36775312913991", "-", 
      RowBox[{
      "1.0839541013177105277520695381099358201`10.144528073805741", " ", 
       "\[ImaginaryI]"}]}]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", 
     RowBox[{"0.18123244446987540889892898121615871787`9.36775312913991", "+", 
      RowBox[{
      "1.0839541013177105277520695381099358201`10.144528073805741", " ", 
       "\[ImaginaryI]"}]}]}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"x", "\[Rule]", "1.16730397826141873984795438445871695876`10."}], 
    "}"}]}], "}"}]], "Output",
 CellChangeTimes->{{3.902998019985351*^9, 3.902998036494207*^9}, 
   3.902998912030527*^9},
 CellLabel->"Out[27]=",ExpressionUUID->"c18150ee-5b29-4c48-83e1-7241a3745fdf"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Roots", "[", 
  RowBox[{
   RowBox[{
    SuperscriptBox["x", "5"], " ", "\[Equal]", " ", 
    RowBox[{"x", "+", "1.0"}]}], ",", " ", "x"}], "]"}]], "Input",
 CellChangeTimes->{{3.902998865094771*^9, 3.902998887623124*^9}, {
  3.9029989203636923`*^9, 3.902998920762506*^9}},
 CellLabel->"In[28]:=",ExpressionUUID->"9e64906c-9bfa-4ed1-a76c-f64b8fad224f"],

Cell[BoxData[
 RowBox[{
  RowBox[{"x", "\[Equal]", 
   RowBox[{
    RowBox[{"-", "0.7648844336005847`"}], "-", 
    RowBox[{"0.35247154603172626`", " ", "\[ImaginaryI]"}]}]}], "||", 
  RowBox[{"x", "\[Equal]", 
   RowBox[{
    RowBox[{"-", "0.7648844336005847`"}], "+", 
    RowBox[{"0.35247154603172626`", " ", "\[ImaginaryI]"}]}]}], "||", 
  RowBox[{"x", "\[Equal]", 
   RowBox[{"0.1812324444698754`", "\[VeryThinSpace]", "-", 
    RowBox[{"1.0839541013177105`", " ", "\[ImaginaryI]"}]}]}], "||", 
  RowBox[{"x", "\[Equal]", 
   RowBox[{"0.1812324444698754`", "\[VeryThinSpace]", "+", 
    RowBox[{"1.0839541013177105`", " ", "\[ImaginaryI]"}]}]}], "||", 
  RowBox[{"x", "\[Equal]", "1.1673039782614187`"}]}]], "Output",
 CellChangeTimes->{3.902998890500108*^9, 3.902998923246991*^9},
 CellLabel->"Out[28]=",ExpressionUUID->"27fdb862-474b-4f84-ae8b-590e4d70fee5"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"(*", 
   RowBox[{"FindRoot", "[", 
    RowBox[{"f", ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "a"}], "}"}]}], "]"}], "*)"}], "\[IndentingNewLine]", 
  
  RowBox[{
  "\:725b\:987f\:8fed\:4ee3\:6cd5", " ", "\:8fd1\:4f3c\:89e3"}]}]], "Input",
 CellChangeTimes->{{3.9029994357459583`*^9, 3.902999451617331*^9}, {
  3.90300018673518*^9, 
  3.903000199999432*^9}},ExpressionUUID->"ee692613-83cb-46e0-99bf-\
458fc1ca5e41"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      RowBox[{"Sin", "[", "x", "]"}], ",", " ", 
      RowBox[{
       SuperscriptBox["x", "2"], " ", "-", "1"}]}], "}"}], ",", " ", 
    RowBox[{"{", 
     RowBox[{"x", ",", " ", 
      RowBox[{"-", "Pi"}], ",", " ", "Pi"}], "}"}]}], "]"}], " "}]], "Input",
 CellLabel->"In[31]:=",ExpressionUUID->"85669a2e-0278-4112-aa86-85e1ba910306"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwt2Xk0VP/7APARihKhUlHRIkpSafmgnhGJKEuSJEWbSki0qpAUqSylkqUQ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       "]]},
     Annotation[#, "Charting`Private`Tag$16547#1"]& ], 
    TagBox[
     {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJw12Hk4VO/7B3BZMiRpKkqpGaWyJCZfleI5KS1CsqWS8Il8yFKWspSURBRF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       "]]},
     Annotation[#, "Charting`Private`Tag$16547#2"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->
   NCache[{{-Pi, Pi}, {-0.9999998782112116, 
     8.869603595407382}}, {{-3.141592653589793, 
    3.141592653589793}, {-0.9999998782112116, 8.869603595407382}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{3.902999423997425*^9},
 CellLabel->"Out[31]=",ExpressionUUID->"2dc7b755-f0ea-4985-abe8-ae178a1f5614"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FindRoot", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"Sin", "[", "x", "]"}], "==", " ", 
    RowBox[{
     SuperscriptBox["x", "2"], " ", "-", "1"}]}], ",", 
   RowBox[{"{", 
    RowBox[{"x", ",", 
     RowBox[{"-", "1"}]}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.90299948168336*^9, 3.902999488759795*^9}},
 CellLabel->"In[32]:=",ExpressionUUID->"4ff273c1-5445-4a70-89e7-1a8824c21f5c"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{"x", "\[Rule]", 
   RowBox[{"-", "0.6367326508052825`"}]}], "}"}]], "Output",
 CellChangeTimes->{3.9029994922638483`*^9},
 CellLabel->"Out[32]=",ExpressionUUID->"029fa1e3-796c-43f1-b5e3-898682764dd8"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Plot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{"x", "*", 
      RowBox[{"Sin", "[", "x", "]"}]}], "-", "1"}], "}"}], ",", " ", 
   RowBox[{"{", 
    RowBox[{"x", ",", 
     RowBox[{"-", "10"}], ",", " ", "10"}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.90299953607959*^9, 3.902999569439228*^9}},
 CellLabel->"In[34]:=",ExpressionUUID->"b37e3e55-ab1c-4bd6-b240-a11d58f83653"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJw1e3c41e///7H3OhMH5xhZWUWUcN+pqN5lVUhGIUmSlFJKS5IkZIeQrFRI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       "]]},
     Annotation[#, "Charting`Private`Tag$18545#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-10, 10}, {-6.440207462062204, 6.916727353011095}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{3.9029995727737494`*^9, 3.9030000017888727`*^9},
 CellLabel->"Out[34]=",ExpressionUUID->"91bb80a3-952b-4f10-870d-2564c9bead4e"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{"%34", ",", 
   RowBox[{"ImageSize", "\[Rule]", "Large"}]}], "]"}]], "Input",
 NumberMarks->False,
 CellLabel->"In[35]:=",ExpressionUUID->"994aeef0-6b45-484f-b1af-ab2a40a6f5fa"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJw1e3c41e///7H3OhMH5xhZWUWUcN+pqN5lVUhGIUmSlFJKS5IkZIeQrFRI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       "]]},
     Annotation[#, "Charting`Private`Tag$18545#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->Large,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-10, 10}, {-6.440207462062204, 6.916727353011095}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{3.903000011341407*^9},
 CellLabel->"Out[35]=",ExpressionUUID->"ba0f2e9c-3943-43d7-81cb-5f314a1f0ae9"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{"%35", ",", 
   RowBox[{"ImageSize", "\[Rule]", "Full"}]}], "]"}]], "Input",
 NumberMarks->False,
 CellLabel->"In[36]:=",ExpressionUUID->"af1f9ec0-69a5-4670-b71c-e5a233831606"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJw1e3c41e///7H3OhMH5xhZWUWUcN+pqN5lVUhGIUmSlFJKS5IkZIeQrFRI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       "]]},
     Annotation[#, "Charting`Private`Tag$18545#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->Full,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-10, 10}, {-6.440207462062204, 6.916727353011095}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{3.903000016433997*^9},
 CellLabel->"Out[36]=",ExpressionUUID->"cc6ac385-adf3-4587-91aa-f5dddea1561a"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{"%36", ",", 
   RowBox[{"ImageSize", "\[Rule]", "Tiny"}]}], "]"}]], "Input",
 NumberMarks->False,
 CellLabel->"In[37]:=",ExpressionUUID->"bcaa726d-ff25-43cd-bfbf-5153f6ed4e41"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJw1e3c41e///7H3OhMH5xhZWUWUcN+pqN5lVUhGIUmSlFJKS5IkZIeQrFRI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       "]]},
     Annotation[#, "Charting`Private`Tag$18545#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->Tiny,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-10, 10}, {-6.440207462062204, 6.916727353011095}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{3.903000019858905*^9},
 CellLabel->"Out[37]=",ExpressionUUID->"7841c039-8e94-4584-bdf9-43668fb786d8"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{"%37", ",", 
   RowBox[{"ImageSize", "\[Rule]", "Tiny"}]}], "]"}]], "Input",
 NumberMarks->False,
 CellLabel->"In[38]:=",ExpressionUUID->"95b3ad42-c54f-448c-bfa4-58d9166505d0"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJw1e3c41e///7H3OhMH5xhZWUWUcN+pqN5lVUhGIUmSlFJKS5IkZIeQrFRI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       "]]},
     Annotation[#, "Charting`Private`Tag$18545#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->Tiny,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-10, 10}, {-6.440207462062204, 6.916727353011095}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{3.9030000226153316`*^9},
 CellLabel->"Out[38]=",ExpressionUUID->"987372b3-3b20-4b99-9a71-dbbcffb3461e"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{"%38", ",", 
   RowBox[{"ImageSize", "\[Rule]", "Large"}]}], "]"}]], "Input",
 NumberMarks->False,
 CellLabel->"In[39]:=",ExpressionUUID->"6a5bf295-c837-4f46-b7f6-88004db395e2"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJw1e3c41e///7H3OhMH5xhZWUWUcN+pqN5lVUhGIUmSlFJKS5IkZIeQrFRI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       "]]},
     Annotation[#, "Charting`Private`Tag$18545#1"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->Large,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-10, 10}, {-6.440207462062204, 6.916727353011095}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{3.903000027364505*^9},
 CellLabel->"Out[39]=",ExpressionUUID->"9f6fa1d0-d2c5-4ea8-b16a-901817205075"]
}, Open  ]]
},
WindowSize->{2560, 1387},
WindowMargins->{{0, Automatic}, {Automatic, 0}},
FrontEndVersion->"12.0 for Mac OS X x86 (64-bit) (2019\:5e744\:67088\:65e5)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[StyleDefinitions -> "Default.nb"]]}, WindowSize -> {808, 911}, 
  WindowMargins -> {{-1460, Automatic}, {162, Automatic}}, Visible -> False, 
  FrontEndVersion -> 
  "12.0 for Mac OS X x86 (64-bit) (2019\:5e744\:67088\:65e5)", 
  StyleDefinitions -> "PrivateStylesheetFormatting.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 182, 3, 104, "Input",ExpressionUUID->"dac3813e-937a-469c-bb54-cc023efff4fb"],
Cell[CellGroupData[{
Cell[765, 27, 813, 23, 405, "Input",ExpressionUUID->"fe83af0e-9b64-49e3-99df-5c25cbc0312b"],
Cell[1581, 52, 279, 7, 108, "Output",ExpressionUUID->"6a7a4480-b626-4375-b619-df1233b34145"]
}, Open  ]],
Cell[1875, 62, 153, 3, 104, "Input",ExpressionUUID->"89fb563f-33b2-4dd1-84b4-179b79b2822c"],
Cell[CellGroupData[{
Cell[2053, 69, 1355, 42, 284, "Input",ExpressionUUID->"34013bc0-5c78-48bc-9c78-a008a0e60ff8"],
Cell[3411, 113, 745, 26, 120, "Output",ExpressionUUID->"76d527c8-62a3-4e57-9246-453e34aba387"]
}, Open  ]],
Cell[4171, 142, 154, 3, 104, "Input",ExpressionUUID->"4b8ffab6-d99d-485f-af33-daedbe7d5f64"],
Cell[CellGroupData[{
Cell[4350, 149, 513, 13, 333, "Input",ExpressionUUID->"07dc471f-2897-488f-ae96-1f02844ccd6f"],
Cell[4866, 164, 875, 31, 230, "Output",ExpressionUUID->"2c0987be-2188-476b-b0b6-055387718c18"],
Cell[5744, 197, 405, 13, 164, "Output",ExpressionUUID->"520b64f3-1238-4d24-824a-a5784a145e71"]
}, Open  ]],
Cell[6164, 213, 206, 3, 177, "Input",ExpressionUUID->"86892411-8500-4b10-bb2f-1f41b901364c"],
Cell[6373, 218, 510, 15, 296, "Input",ExpressionUUID->"3ccd3ba0-1ae5-4f55-93be-7fffcf4a86ee"],
Cell[CellGroupData[{
Cell[6908, 237, 820, 23, 432, "Input",ExpressionUUID->"fc3e3540-f387-43d7-9333-dcc56f24cee3"],
Cell[7731, 262, 546, 15, 108, "Output",ExpressionUUID->"355d7e02-a00f-465e-bc7d-7dafedf77fd2"]
}, Open  ]],
Cell[8292, 280, 152, 3, 104, "Input",ExpressionUUID->"90626338-d5e4-4867-8a3c-4106e3743bb8"],
Cell[CellGroupData[{
Cell[8469, 287, 517, 12, 188, "Input",ExpressionUUID->"5f159ae6-8ec6-4641-a6e3-b7d5c798a473"],
Cell[8989, 301, 151, 2, 108, "Output",ExpressionUUID->"77798d7c-00ac-4e3a-9958-04c110a68fa3"],
Cell[9143, 305, 481, 11, 24, "Message",ExpressionUUID->"8445814a-05b0-4eb2-b522-199160d34988"]
}, Open  ]],
Cell[9639, 319, 154, 3, 104, "Input",ExpressionUUID->"eca9c3d5-1280-46be-90ed-eecde500e6ad"],
Cell[CellGroupData[{
Cell[9818, 326, 323, 7, 188, "Input",ExpressionUUID->"0df1910b-838f-4a02-b14d-f97c0852fb01"],
Cell[10144, 335, 1040, 27, 337, "Output",ExpressionUUID->"304edf09-4226-4b73-bfe3-25487ae314d2"]
}, Open  ]],
Cell[CellGroupData[{
Cell[11221, 367, 396, 9, 188, "Input",ExpressionUUID->"361a5e0f-6e6a-4f56-adc3-5b3e8aba678c"],
Cell[11620, 378, 1445, 38, 451, "Output",ExpressionUUID->"c18150ee-5b29-4c48-83e1-7241a3745fdf"]
}, Open  ]],
Cell[CellGroupData[{
Cell[13102, 421, 376, 8, 188, "Input",ExpressionUUID->"9e64906c-9bfa-4ed1-a76c-f64b8fad224f"],
Cell[13481, 431, 865, 18, 337, "Output",ExpressionUUID->"27fdb862-474b-4f84-ae8b-590e4d70fee5"]
}, Open  ]],
Cell[14361, 452, 457, 13, 219, "Input",ExpressionUUID->"ee692613-83cb-46e0-99bf-458fc1ca5e41"],
Cell[CellGroupData[{
Cell[14843, 469, 429, 12, 188, "Input",ExpressionUUID->"85669a2e-0278-4112-aa86-85e1ba910306"],
Cell[15275, 483, 16810, 298, 240, "Output",ExpressionUUID->"2dc7b755-f0ea-4985-abe8-ae178a1f5614"]
}, Open  ]],
Cell[CellGroupData[{
Cell[32122, 786, 417, 11, 188, "Input",ExpressionUUID->"4ff273c1-5445-4a70-89e7-1a8824c21f5c"],
Cell[32542, 799, 239, 5, 108, "Output",ExpressionUUID->"029fa1e3-796c-43f1-b5e3-898682764dd8"]
}, Open  ]],
Cell[CellGroupData[{
Cell[32818, 809, 425, 11, 177, "Input",ExpressionUUID->"b37e3e55-ab1c-4bd6-b240-a11d58f83653"],
Cell[33246, 822, 22198, 383, 240, "Output",ExpressionUUID->"91bb80a3-952b-4f10-870d-2564c9bead4e"]
}, Open  ]],
Cell[CellGroupData[{
Cell[55481, 1210, 224, 5, 177, "Input",ExpressionUUID->"994aeef0-6b45-484f-b1af-ab2a40a6f5fa"],
Cell[55708, 1217, 22192, 384, 374, "Output",ExpressionUUID->"ba0f2e9c-3943-43d7-81cb-5f314a1f0ae9"]
}, Open  ]],
Cell[CellGroupData[{
Cell[77937, 1606, 223, 5, 177, "Input",ExpressionUUID->"af1f9ec0-69a5-4670-b71c-e5a233831606"],
Cell[78163, 1613, 22191, 384, 1530, "Output",ExpressionUUID->"cc6ac385-adf3-4587-91aa-f5dddea1561a"]
}, Open  ]],
Cell[CellGroupData[{
Cell[100391, 2002, 223, 5, 177, "Input",ExpressionUUID->"bcaa726d-ff25-43cd-bfbf-5153f6ed4e41"],
Cell[100617, 2009, 22191, 384, 108, "Output",ExpressionUUID->"7841c039-8e94-4584-bdf9-43668fb786d8"]
}, Open  ]],
Cell[CellGroupData[{
Cell[122845, 2398, 223, 5, 177, "Input",ExpressionUUID->"95b3ad42-c54f-448c-bfa4-58d9166505d0"],
Cell[123071, 2405, 22193, 384, 108, "Output",ExpressionUUID->"987372b3-3b20-4b99-9a71-dbbcffb3461e"]
}, Open  ]],
Cell[CellGroupData[{
Cell[145301, 2794, 224, 5, 177, "Input",ExpressionUUID->"6a5bf295-c837-4f46-b7f6-88004db395e2"],
Cell[145528, 2801, 22192, 384, 470, "Output",ExpressionUUID->"9f6fa1d0-d2c5-4ea8-b16a-901817205075"]
}, Open  ]]
}
]
*)

